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Finding the Third Proportional to 197,619 and 432,714

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Solution

The third proportional to 197,619 and 432,714 is: 947,486.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,619 : 432,714 = 432,714 : x
  2. Step 2: Convert to fraction form
    197,619/432,714 = 432,714/x
  3. Step 3: Cross multiply
    197,619x = 432,714 × 432,714
  4. Step 4: Simplify right side
    197,619x = 187,241,405,796
  5. Step 5: Solve for x
    x = 187,241,405,796/197,619
  6. Step 6: Final answer
    x = 947,486.86

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.